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Finding the Third Proportional to 829,376,304 and 1,781,835,961.50

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Solution

The third proportional to 829,376,304 and 1,781,835,961.50 is: 3,828,104,779.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,376,304 : 1,781,835,961.50 = 1,781,835,961.50 : x
  2. Step 2: Convert to fraction form
    829,376,304/1,781,835,961.50 = 1,781,835,961.50/x
  3. Step 3: Cross multiply
    829,376,304x = 1,781,835,961.50 × 1,781,835,961.50
  4. Step 4: Simplify right side
    829,376,304x = 3,174,939,393,694,629,376
  5. Step 5: Solve for x
    x = 3,174,939,393,694,629,376/829,376,304
  6. Step 6: Final answer
    x = 3,828,104,779.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.